how to find z score on standard normal table

There is only one problem with this z-score that is, it is based on a value of 0.8997 rather than the 0.9 value we are interested in. This forms the second part of the z-score. This time, the value on the x-axis for 0.8997 is 0.08. We now need to do the same for the x-axis, using the 0.8997 value as our starting point and following the column up. You will notice that the value on the y-axis for 0.8997 is 1.2.

If we take the 0.8997 value as our starting point and then follow this row across to the left, we are presented with the first part of the z-score. When looking at the table, you may notice that the closest value to 0.9 is 0.8997. As such, we first need to find the value 0.9 in standard normal distribution table. This is demonstrated below:įrom the table, we can observe that p(z=0.80) = 0.7881 and p(z=-1.2) = 0.We know the percentage we are trying to find, the top 10% of students, corresponds to 0.9.

We are required to calculate the probability of z being between -1.2 and 0.80. We can also interpret this as – there is a 97.72% probability that the dividends paid by the company will be below $14.

This means that 97.72% of observations lie below a z-score of 2 (2 standard deviations). Look for a z-score in the first column, and note the corresponding F(Z) value. We can look up the z-score of 2 in the above table. If the company pays a dividend of $14 this year, its z-score is 2 indicating that the current dividends are 2 standard deviations above the mean. The dividends paid by a company every year are normally distributed with a mean of $10 and a standard deviation of $2. In the above table, F(Z) is the probability that a variable from a standard normal distribution will be less than or equal to Z.

The following z-table shows the probabilities for z values ranging between – 3 and 3. The standard normal table shows the area (as a proportion, which can be translated into a percentage) under the standard normal curve corresponding to any Z-score or its fraction, i.e., the probability of observing a z-value that is less than the given value. Once we have the z-scores, we can use the standard normal table to calculate the probabilities.

How to find z score on standard normal table